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<span class="kw">let </span><font color="Maroon" title="c1">Omega</font> be   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">Sigma</font> being   <a href="prob_1.html#NM3" title="PROB_1:NM.3">SigmaField</a> of <font color="Maroon" title="c1">Omega</font><br/>  for <font color="Olive" title="b2">X</font>, <font color="Olive" title="b3">Y</font> being   <a href="random_3.html#NM1" title="RANDOM_3:NM.1">random_variable</a> of <font color="Olive" title="b1">Sigma</font>, <a href="prob_1.html#K12" title="PROB_1:func.12">Borel_Sets</a>  holds  <font color="Olive" title="b2">X</font> <a href="valued_1.html#K47" title="VALUED_1:func.47">-</a> <font color="Olive" title="b3">Y</font> is   <a href="random_3.html#NM1" title="RANDOM_3:NM.1">random_variable</a> of <font color="Olive" title="b1">Sigma</font>, <a href="prob_1.html#K12" title="PROB_1:func.12">Borel_Sets</a> </span><br/><span class="kw">let </span><font color="Maroon" title="c2">Sigma</font> be   <a href="prob_1.html#NM3" title="PROB_1:NM.3">SigmaField</a> of <font color="Maroon" title="c1">Omega</font>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">X</font>, <font color="Olive" title="b2">Y</font> being   <a href="random_3.html#NM1" title="RANDOM_3:NM.1">random_variable</a> of <font color="Maroon" title="c2">Sigma</font>, <a href="prob_1.html#K12" title="PROB_1:func.12">Borel_Sets</a>  holds  <font color="Olive" title="b1">X</font> <a href="valued_1.html#K47" title="VALUED_1:func.47">-</a> <font color="Olive" title="b2">Y</font> is   <a href="random_3.html#NM1" title="RANDOM_3:NM.1">random_variable</a> of <font color="Maroon" title="c2">Sigma</font>, <a href="prob_1.html#K12" title="PROB_1:func.12">Borel_Sets</a> </span><br/><span class="kw">let </span><font color="Maroon" title="c3">X</font>, <font color="Maroon" title="c4">Y</font> be   <a href="random_3.html#NM1" title="RANDOM_3:NM.1">random_variable</a> of <font color="Maroon" title="c2">Sigma</font>, <a href="prob_1.html#K12" title="PROB_1:func.12">Borel_Sets</a> ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <font color="Maroon" title="c3">X</font> <a href="valued_1.html#K47" title="VALUED_1:func.47">-</a> <font color="Maroon" title="c4">Y</font> is   <a href="random_3.html#NM1" title="RANDOM_3:NM.1">random_variable</a> of <font color="Maroon" title="c2">Sigma</font>, <a href="prob_1.html#K12" title="PROB_1:func.12">Borel_Sets</a> </span><br/>





<span class="kw">reconsider </span><font color="Maroon" title="c5">X</font> = <font color="Maroon" title="c3">X</font>, <font color="Maroon" title="c6">Y</font> = <font color="Maroon" title="c4">Y</font> as   <a href="random_1.html#NM1" title="RANDOM_1:NM.1">Real-Valued-Random-Variable</a> of <font color="Maroon" title="c2">Sigma</font> <span class="kw">by</span> <span class="lab"><a class="ref" href="random_3.html#T9" onmouseover="rs('random_3/T9')" onmouseout="rh()">RANDOM_3:9</a></span>;<br/>
<a NAME="E2:39"/>
<font color="Maroon" title="c5">X</font> <a href="random_1.html#K4" title="RANDOM_1:func.4">-</a> <font color="Maroon" title="c6">Y</font> is   <a href="random_1.html#NM1" title="RANDOM_1:NM.1">Real-Valued-Random-Variable</a> of <font color="Maroon" title="c2">Sigma</font>
 
;<br/>
<span class="kw">hence </span><a NAME="E3:39"/>
<font color="Maroon" title="c3">X</font> <a href="valued_1.html#K47" title="VALUED_1:func.47">-</a> <font color="Maroon" title="c4">Y</font> is   <a href="random_3.html#NM1" title="RANDOM_3:NM.1">random_variable</a> of <font color="Maroon" title="c2">Sigma</font>, <a href="prob_1.html#K12" title="PROB_1:func.12">Borel_Sets</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="random_3.html#T9" onmouseover="rs('random_3/T9')" onmouseout="rh()">RANDOM_3:9</a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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